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Finding the Fourth Proportional to 401.76, 555.30 and 354.80

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Solution

The fourth proportional to 401.76, 555.30 and 354.80 is: 490.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.76 : 555.30 = 354.80 : x
  2. Step 2: Convert to fraction form
    401.76/555.30 = 354.80/x
  3. Step 3: Cross multiply
    401.76x = 555.30 × 354.80
  4. Step 4: Simplify right side
    401.76x = 197,020.44
  5. Step 5: Solve for x
    x = 197,020.44/401.76
  6. Step 6: Final answer
    x = 490.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.